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Simplifying 6z + -3(-5z + 4) = 30 Reorder the terms: 6z + -3(4 + -5z) = 30 6z + (4 * -3 + -5z * -3) = 30 6z + (-12 + 15z) = 30 Reorder the terms: -12 + 6z + 15z = 30 Combine like terms: 6z + 15z = 21z -12 + 21z = 30 Solving -12 + 21z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21z = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 21z = 30 + 12 21z = 30 + 12 Combine like terms: 30 + 12 = 42 21z = 42 Divide each side by '21'. z = 2 Simplifying z = 2
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